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15
108
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Poincare dual of the Alexander dual of the fundamental class of a knot is given by a Seifert surface - proof

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#algebraic-topology #homology-cohomology #knot-theory
61
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Prove that the knots 4_1 and 5_2 are not equivalent by showing one is p-colorable and the other is not for some prime p.

Published on
#knot-theory
140
Views

how did they come up with polynomials as knot invariant

Published on
#knot-theory #knot-invariants #braid-groups
205
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Trying to explain the unknotting number of $7_5$

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#knot-theory #knot-invariants
297
Views

Intersection of Satellite, Torus, and Hyperbolic Knots

Published on
#definition #knot-theory #low-dimensional-topology
34
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Can a rational Seifert surface have n boundary components?

Published on
#surfaces #knot-theory #low-dimensional-topology
39
Views

Obstruction Theory in Seifert Surfaces

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#knot-theory #cw-complexes #low-dimensional-topology #obstruction-theory
112
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The figure eight knot complement in $S^3$.

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#geometric-topology #hyperbolic-geometry #knot-theory #geometric-group-theory #low-dimensional-topology
55
Views

Split link properties

Published on
#knot-theory #knot-invariants
130
Views

How to set up Chern-Simons theory, compute its "topological gauge shift" term, and compute its quantum path integrals with Wilson lines?

Published on
#mathematical-physics #knot-theory #quantum-field-theory #gauge-theory #topological-quantum-field-theory
110
Views

Arborescent knots on Snappy

Published on
#algorithms #knot-theory #python
89
Views

For every prime $p$, does there exist a knot $K$ such that $K$ is $p$-colourable?

Published on
#knot-theory #low-dimensional-topology #knot-invariants
74
Views

Practical applications of knot concordance

Published on
#general-topology #polynomials #knot-theory #invariance #knot-invariants
282
Views

Way to determine the type of a knot given by a diagram

Published on
#geometric-topology #knot-theory #kirby-diagram
167
Views

Is a monoid structure on the set of knots useful?

Published on
#group-theory #algebraic-topology #knot-theory

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